Use Bayes' Theorem or a Tree Diagram to Calculate the Indicated

question 24

Multiple Choice

Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round the answer to four decimal places. $Y _ { 1 }$ , $Y _ { 2 }$ , $Y _ { 3 }$ form a partition of S.
$P \left( X \mid Y _ { 1 } \right) = 0.2$ , $P \left( X \mid Y _ { 2 } \right) = 0.3$ , $P \left( X \mid Y _ { 3 } \right) = 0.5$ , $P \left( Y _ { 1 } \right) = 0.3$ , $P \left( Y _ { 2 } \right) = 0.4$ .

Find $P \left( Y _ { 2 } \mid X \right)$ .

• A) \(P \left( Y _ { 2 } \mid X \right) = 0.009\)
• B) \(P \left( Y _ { 2 } \mid X \right) = 0.1818\)
• C) \(P \left( Y _ { 2 } \mid X \right) = 0.6364\)
• D) \(P \left( Y _ { 2 } \mid X \right) = 0.3636\)
• E) \(P \left( Y _ { 2 } \mid X \right) = 0.4545\)

Comprehend the importance and process of conducting an Integrated Marketing Communications (IMC) audit.

Understand the relationship between promotional activities and market share dynamics.

Appreciate the role of customer data management in direct marketing strategies.

Understand the objectives and tools of direct marketing strategies.